Thank you very much, Dr. Cheung & Ajohn!
The iris colour of Lesser Coucal is painted in red in "The Birds of HK & S China". It's mistaken then.
Sorry I have 2 more questions. According to "The Birds of HK & S China",
1. The underwing coverts of the Great Coucal in flight is drawn black / dark in colour, but all brown for Little Coucal. Is it true?
2. The lower back of Little Coucal is brown in colour while that of the Great Coucal is black. Is it true?